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Finding the Fourth Proportional to 284,453.10, 426,696.02 and 106,961.64

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Solution

The fourth proportional to 284,453.10, 426,696.02 and 106,961.64 is: 160,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,453.10 : 426,696.02 = 106,961.64 : x
  2. Step 2: Convert to fraction form
    284,453.10/426,696.02 = 106,961.64/x
  3. Step 3: Cross multiply
    284,453.10x = 426,696.02 × 106,961.64
  4. Step 4: Simplify right side
    284,453.10x = 45,640,106,080.67
  5. Step 5: Solve for x
    x = 45,640,106,080.67/284,453.10
  6. Step 6: Final answer
    x = 160,448.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.